 # Several Methods of Factoring

 --A polynomial is factored completely when it is expressed as the product of a monomial and one or more prime polynomials . Guidelines for Factoring Completely 1) Factor out the greatest monomial factor first. 2) Look for a difference of squares . 3) Look for a perfect square trinomial . 4) If a trinomial is not a square , look for a pair of binomial factors. 5) If a polynomial has four or more terms , look for a way to group the terms in pairs. 6) Make sure that you check that each binomial or trinomial factor is a prime . 7) Check your work by multiplying the factors . Factored Completely Guidelines for Factoring Completely Guidelines for Factoring Completely Flow Chart Style Factor out the greatest monomial factor Example 1: Factor completely: Factoring Flow Chart Example 1 Example 2: Factor completely: Example 3: Factor completely: Example 2 Example 3 Example 4: Factor completely: Homework: page 228 Oral Exercises (7-12 all) page 228 Written Exercises (7-18 all) ** Answers will be on the web. Example 4 Homework
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